Question: User: (64allover25)1allover2
1. **State the problem:** Simplify the expression $$\left(\frac{64}{25}\right)^{\frac{1}{2}}$$.
2. **Recall the rule:** The exponent $$\frac{1}{2}$$ means taking the square root of the base.
3. **Apply the rule:**
$$\left(\frac{64}{25}\right)^{\frac{1}{2}} = \sqrt{\frac{64}{25}}$$
4. **Use the property of square roots:**
$$\sqrt{\frac{64}{25}} = \frac{\sqrt{64}}{\sqrt{25}}$$
5. **Calculate the square roots:**
$$\sqrt{64} = 8$$ and $$\sqrt{25} = 5$$
6. **Write the simplified fraction:**
$$\frac{8}{5}$$
**Final answer:** $$\frac{8}{5}$$